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Nikolay Nikolov, University of Oxford

Date Icon Week 2, Tuesday 18 October MT 2016
Time Icon 8:15pm

One of the first results in Mathematics studied at university is that every vector space has a basis. In this talk I will explain how this basic result helped to solve Hilbert’s third problem: Can a cube be assembled from a regular tetrahedron of the same volume by cutting them into finitely many tetrahedral pieces?

I will also discuss what happens if we allow arbitrary pieces in the decomposition, leading us to the Banach Tarski paradox and eventually group theory.